Dave Schmidt's Calculus 2 Page


Welcome to Calculus 2. The purpose of this page is to make certain resources available and keep you
up to date with everything going on in the course.

** REMINDER: If you're having trouble with the course, there are video clips available
        on which many typical problems are presented and explained. It's worth taking a look at if you
        feel the need. They are available
here

FINAL EXAM INFORMATION:

The final exam is mandatory for everyone and will take place on Wednesday, December 14 from 3 - 6 PM in West Hall Auditorium. 

No books, notes or calculators are allowed. 
The exam will contain all of the formulas included on
the previous three exams, including the series flowchart sheet.

There will be a review class conducted by Dr. Schmidt on Monday, December 12 from 2 - 3:30 PM in Darrin 324.
Please look over your old homeworks and exams and come prepared with questions to ask on topics and/or
problems.

Prof. Schmidt will also have office hours on Wednesday, December 14 from 11AM - 12PM. 


FORMAT OF THE FINAL EXAM:

The final exam will consist of two parts:

        The first part will be a conventional exam consisting of 6 problems. You will have to solve 5 of the 6.
        You will need to indicate on the front of the exam which problem you do not want graded.
        These problems will be worth 16 points each, for a total of 80 points.

        The second part will be a skills exam consisting of 10 problems from the Calculus Skills problem set.
        These problems will be different versions of problems we've had on skills quizzes this semester, as well
        as one new skills problem on partial derivatives. These problems will be worth 2 points each and will be graded on a
        no partial credit basis.

        Thus, the skills portion of the final exam consists of 20 points, the conventional portion consists of
        80 points, for a total of 100 points.


TOPICS COVERED ON THE FINAL EXAM: 

Integration by Parts (8.1)
Trigonometric Integrals (8.2)

Trigonometric Substitution (8.3)
Partial Fraction Expansion (8.4)

Improper Integrals (8.7)

Conic Sections (11.6)
Parametric Equations (11.1)

Calculus with Parametric Curves (11.2)
Polar Coordinates (11.3, 11.4)
Area and Arclength in Polar Graphs (11.5)

 
Three Dimensional Coordinate Systems (12.1)
Vectors (12.2)
Dot Product and Orthogonality (12.3)
Component and Projection (12.3)
Work (12.3)
Cross Product (12.4)
Equations of Lines and Planes in Space (12.5)

Vector Functions and Space Curves (13.1)

Calculus of Vector Functions (13.1)
Projectile Motion (13.2)
Curvature (13.4)
 
Sequences (10.1)
Infinite Series (10.2)
Geometric and Telescoping Series (10.2)
Divergence Test (10.2)
Integral Test and p-series (10.3)
Comparison Test and Limit Comparison Test (10.4)
Ratio Test (10.5)
Alternating Series Test (10.6)

Absolute and Conditional Convergence (10.6)
Power Series (10.7)

Representing Functions using Power Series (10.7)
Taylor and Maclaurin Series (10.8)
Convergence of Taylor Series (10.9)
Taylor Polynomials and Approximation of Functions (10.9)
 
Functions of Two Variables: Domain and Level Curves (14.1)
Partial Derivatives (14.3)

 


Infinite Series Flowchart Sheet


 Skills Quiz Dates and Coverage:

       Skills Quiz #1: Wednesday, September 7 -- Integration Review
       Skills Quiz #2: Wednesday, September 14 -- Integration by Parts
       Skills Quiz #3: Wednesday, September 21 -- Trigonometric Integrals
       Skills Quiz #4: Wednesday, September 28 -- Partial Fractions

      
CUMULATIVE SKILLS QUIZ 1: Wednesday, October 5

         This is one of several opportunities to improve your quiz grades. A cumulative quiz containing new versions of some of the problems
         from the previous skills quizzes will be given, and you will gain credit for any problem you answer correctly that was answered
         incorrectly on the previous quizzes. Note that there is no penalty for answering a question incorrectly if it has already been answered
         correctly on a previous quiz.

       Skills Quiz #5: Wednesday, October 12 -- Polar Coordinates
       Skills Quiz #6: Wednesday, October 19 -- Dot Product and Cross Product
       Skills Quiz #7: Wednesday, October 26 -- Vector Valued Functions

        CUMULATIVE SKILLS QUIZ 2: Wednesday, November 2

       CUMULATIVE SKILLS QUIZ 3 (including new problem on Taylor Polynomials):  Wednesday, December 7

         Note: The skills problems regarding partial derivatives will appear only on the skills portion of the final exam.

 
Course Information

Course Activities

Course Policies

 
 

Office Hours Information:

Prof. Schmidt's Office Hours (in Amos Eaton 408):  Wednesday 4 - 5:30 PM, Thursday 2 - 3 PM


Recitation Instructor Office Hours:



Course Resources:

General resources for Calculus:

    This web page collects many helpful resources, including information about Supplemental
    Instruction, Drop In Tutoring, on-line video clips and much, much more!

         Calculus Help Page

Resources Specific to our class:
 

Homework Assignments

Tentative Exam Dates

Exam Solutions
 

Resources for Calculus Skills Problem Set:

The Calculus Skills Problem Set is a set of problems designed to test your ability to carry out the basic computations
from Calculus accurately. Throughout the semester you will be tested (during quizzes and the final exam) on
algorithmically generated versions of these problems.  You will also have designated class time each week
to work on these problems in a supervised setting.

These problems will always be graded with no partial credit, and will account for approximately 20 % of
the course grade. The details of how the skills problems will be tested and how they will contribute to your
grade appear in the course policies above.

The  Calculus Skills home page is http://calculus.math.rpi.edu.  This page contains much important information
pertaining to the skills portion of the course, including rules pertaining to how the problems will be graded,
academic integrity guidelines, and Skills Assistant office hours.  It also contains a list of all the Calculus
Skills problems and resources for practicing different versions of them.
 
 

MAPLE Resources:

 MAPLE Files   This is a series of tutorial files explaining how MAPLE can be used to perform different pre-Calculus
                              and Calculus tasks. MAPLE (or a graphing calculator) may be handy now and then if you need to
                              quickly sketch a graph or solve an equation, although neither resource may be used on exams and
                              quizzes.

Prof. Mark Holmes' MAPLE tutorial